Greatest Common Factor of 9490/140, 5818/1925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9490/140, 5818/1925

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9490/140,5818/1925

Given fractions are 9490/140,5818/1925

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9490,5818

Greatest Common Factor of Numerators i.e. GCF of 9490,5818 is 2 .

LCM of Denominators means LCM of 140,1925 as per the given fractions.

LCM of 140,1925 is 7700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9490,5818

GCF of Fractions 9490/140,5818/1925 is 2/7700

2 9490, 5818
4745, 2909

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9490,5818 By Matching Biggest Common Factor Method

Greatest Common Factor of 9490,5818 By Matching Biggest Common Factor Method

Factors of 9490

List of positive integer factors of 9490 that divides 9490 without a remainder.

1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490

Factors of 5818

List of positive integer factors of 5818 that divides 5818 without a remainder.

1,2,2909,5818

Greatest Common Factor

We found the factors 9490,5818 . The biggest common factor number is the GCF number.
So the greatest common factor 9490,5818 is 2.

Lets's calculate LCM of 140,1925

5 140, 1925
7 28, 385
4, 55

∴ So the LCM of the given numbers is 5 x 7 x 4 x 55 = 7700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7700

Therefore, the GCF of Fractions 9490/140,5818/1925 is 2/7700

Least Common Multiple of 140,1925 with GCF Formula

Least Common Multiple of 140,1925 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 140,1925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,1925) = 35

common factors(in case of two or more numbers have common factors) = 1

GCF(140,1925) x common factors =35 x 1 = 35

LCM(140,1925) = ( 140 × 1925 ) / 35

LCM(140,1925) = 269500 / 35

LCM(140,1925) = 7700


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9490/140, 5818/1925

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9490/140, 5818/1925?

Answer: GCF of Numerators as per given numbers 9490/140, 5818/1925 is

GCF of Numerators i.e. for 9490,5818 is 2

LCM of denominators i.e. for 140,1925 is 7700.

Thus, GCF of Fractions is 2/7700.Finally, GCF of Fractions for 9490/140, 5818/1925 is 2/7700.